few_shots: Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Standard options: 
A. Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
B. Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.


Thought: An initial step when solving for x in this problem requires the use of the addition formula for cosine on the left side of the equation. Solving this problem does not require use of the Pythagorean identity.
Answer: B

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: fl_problem_001894

HS
options: Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
problem_activity: Narrative
The purpose of this activity is to sort quadrilaterals by their attributes. By now students may be inclined to look for sides of equal lengths and for right angles. They may not look for parallel sides (and are not expected to know the term “parallel”), but may notice that some quadrilaterals have pairs of sides that are oriented in the same direction (MP7). Encourage students to describe such observations in their own words.
The quadrilateral cards from this activity will be used in the next lesson and in centers.
Required Materials
Materials to Gather
Bags or envelopes
Materials to Copy
Quadrilateral Cards Grade 3
Required Preparation
Create a set of cards from the blackline master for each group of 2 or 4.
Bags or envelopes can be used to store sets of cards from this activity for use in the next lesson.
Launch
Groups of 2 or 4
Distribute one set of pre-cut cards to each group of students.
“What do you notice about the shapes on this set of cards?” (There are 20 shapes. All the shapes are quadrilaterals. Some have right angles and some don’t.)
1 minute: quiet think time
Activity
“Just like the last activity, sort cards into categories that you and your partner choose.”
8 minutes: partner work time
Monitor for different attributes that students use to sort the shapes.
Student Facing
Sort the quadrilaterals into categories. Record your categories and be prepared to explain how you sorted the shapes.
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Student Response
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Activity Synthesis
“Display your sorted cards so that others can see them.”
“Visit another group’s cards and see if you can figure out how they sorted their quadrilaterals. Be prepared to share your reasoning.”
2–3 minutes: Students visit other groups’ displays.
Invite each group to share how the cards were sorted and their reasoning. Record and display the attributes students use to categorize the quadrilaterals.
Attend to the language that students use to describe the categories and shapes, giving them opportunities to describe the shapes more precisely.
Highlight the use of terms like “equal sides” and “right angles.”


correct_option_index: 0